p and q are complex numbers such that ∣p∣ = 2/5 x + 2 , ∣q∣ = −3/4 x − 1 , and ∣p+q∣ = 2x + 4 .

On what interval must x fall?

a) [−4/3, −60/47]

b) [-2, −4/3]

c) [−2, [infinity])

d) (−[infinity], −4/3)


Please Help!!

Answer:

Step-by-step explanation:

4+3=7,

4*7=28

28-3=25

Answer:

C

Step-by-step explanation:

Answer:

£18.2

Step-by-step explanation:

4.5 kg = 4.5 * 1000 = 4500 g

Sharing in the ratio :

Chocolate : peanut butter : crisped rice in the ratio 4 : 2 : 3 respectively

Sum of ratio = (4 + 2 + 3) = 9

Chocolate = 4/9 * 4500 = 2000 g

Peanut butter = 2/9 * 4500 = 1000 g

Crisped rice = 3/9 * 4500 = 1500 g

1 bar of chocolate = 200 g at 2.50

2000/ 200 * 2.50 = £25.0

1 jar of peanut butter = 250 g at 1.70

1000 / 250 * 1.70 = £6.8

1 packet of crisped rice = 300g at 2

1500 / 300 * 2 = £10

Total cost of ingredients = £(25+6.8+10) = £41.8

Number of pieces of chocolate squares made = 100

Selling price per square = 60p = £0.6

Total revenue made = £0.6 * 100 = £60

Profit realized = £(60 - 41.8) = £18.2

Answer:

The answer is below

Step-by-step explanation:

Let x represent the number of years, where x = 0 represent the first year. Let y represent the number of pizzas baked.

In the first year(i.e. at x = 0), 2000 pizza was baked. This can be represented by (0, 2000).

In the second year(i.e. at x = 1), 3000 pizza was baked. This can be represented by (1, 3000).

In the third year(i.e. at x = 2), 4000 pizza was baked. This can be represented by (2, 4000).

Therefore, the relationship between x and y is given by:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)[/tex]

Using the points (0, 2000) and (2, 4000):

[tex]y-2000=\frac{4000-2000}{2-0} (x-0)\\\\y-2000=1000x\\\\y = 1000x+2000[/tex]

Answer:

Rectangular Prism

Step-by-step explanation:

When the rectangle is revolved about line a, a rectangular prism is formed. The volume of the solid formed when the rectangle is rotated about line a is 72π cubic units.

Answer:

cylinder

Step-by-step explanation:

cylinder.

Answer:

[tex]\huge\boxed{A_{\triangle RST}=9units^2}[/tex]

Step-by-step explanation:

(Look at the picture).

Calculate the area of the rectangle and subtract the areas of red triangles.

The formula of an area of a rectangle:

[tex]A_{\boxed{\ }}=a\cdot b[/tex]

We have:

[tex]a=5,\ b=4[/tex]

substitute:

[tex]A_{\boxed{\ }}=5\cdot4=20[/tex]

The formula of an area of a triangle:

[tex]A_\triangle=\dfrac{a\cdot h}{2}[/tex]

substitute:

[tex]A_1=\dfrac{3\cdot3}{2}=\dfrac{9}{2}=4.5\\\\A_2=\dfrac{2\cdot4}{2}=\dfrac{8}{2}=4\\\\A_3=\dfrac{5\cdot1}{2}=\dfrac{5}{2}=2.5\\\\A_1+A_2+A_3=4.5+4+2.5=11[/tex]

Area of ΔRST:

[tex]A_{\triangle RST}=A_{\boxed{\ }}-(A_1+A_2++A_3)[/tex]

substitute:

[tex]A_{\triangle RST}=20-11=9[/tex]

Answer: B

Step-by-step explanation:

Answer is B

The required method that is popular with the boys is going to school by walking.

A dual bar chart has been given, describing the method of going to school for boys and girls.

A bar chart displays the frequency counts of values for each level of a categorical or nominal variable.

Here,
According to the question,
Number of boys walk = 8,
Number of boys taking the bus = 2
Number of boys with car = 3
number of boys with cycle = 3
So the most popular method among the boys is given as by walk.

Thus, the required method that is popular with the boys is going to school by walking.

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Answer:

area of the square=12×12

=144 cm²

area of the circle (radius=12/2=6 cm

πr²

3.142×6²

=113.112 cm²

area of the square-area of the circle

144. -113.112

30.888 cm²

Area of the shaded region=30.888/4

=7.722 cm²

Answer:

1-m< +m<2 =180°

2-congruent

3-supplementary

4-m<1 + m<3 = 180°

5-m<2 + m<3 = 180°

Answer:

40000

Step-by-step explanation:

Using that thing called pemdas, do the exponents first, then the multiplication so:

10^5 = 100000

100000 x 0.4 = 40000

Answer:

24.73cm^3

Step-by-step explanation:

Answer:

87.92 cubic inches

Step-by-step explanation:

to find the volume of a cylinder the formula is V = [tex]\pi[/tex][tex]r^{2}[/tex]h

so first i squared 2

2x2= 4

i then multiplied 4 by the height (7)

4x7 = 28

then times 28 by pi (3.14)

28x 3.14 = 87.92

The volume of cylinder is  87.92 cubic inches

volume :

volume is the amount of space in a certain 3D object.

formula used to  find the volume of cylinder :

V  =  π × r^2 × h

as given ,

r = 2 inch

h = 7 inch

so ,

V = π × (2)^2 × 7

⇒  π  × 28

V =  87.92 cubic inches

Hence , the volume of cylinder is  87.92 cubic inches .

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Answer:

22

Step-by-step explanation:

First write an expression to represent the situation.

$1,300,000 ≤ $475,000 + $37,500a

This expression works because the least amount of money that can make to remain profitable is 1,300,000. They already have 475,000 of that and every a (number of ads sold) is $37,500

Using this equation, solve for a.

1300000 ≤ 475000 + 37500a

First, subtract 475000 from both sides.

825000 ≤ 37500a

Then divide both sides of the equation by 37500 to isolate a.

22 ≤ a

22 is less than or equal to a. So they must sell at least 22 ads to remain profitable.

Answer:

D. 225/4

Step-by-step explanation:

To complete the square (a technique that can be applied to many problems!), take half the coefficient of  x  and square the result.

The coefficient of  x  is 15.  Half of 15 is 15/2.  Square 15/2 to get 225/4.

Check:

[tex]x^2+15x+\frac{225}{4}=\left(x+\frac{15}{2}\right)\left(x+\frac{15}{2}\right)=\left(x+\frac{15}{2}\right)^2[/tex]

Answer:

255/4

Step-by-step explanation:

Answer true

Step-by-step explanation:

Answer:

Correct option is

False

Even though all the corresponding angles of the two triangles are equal, the corresponding sides may not be equal.

Hence, the two triangles are not congruent.

The given statement is false.

Answer:

The answer is A) There are no proportional relationship

Step-by-step explanation:

The green line does not go through the origin and it is curved. This is not a proportional relationship.

Problems: It does not go through 0,0 and it is curved.

----------------------------------------------------------------------------------------------------------------

The blue line may go through the origin but it is curved. This is not a proportional relationship.

Problem: It is curved.

----------------------------------------------------------------------------------------------------------------

The purple line does not go through the origin. This is not a proportional relationship.

Problem: It does not go through 0,0

----------------------------------------------------------------------------------------------------------------

Conclusion: Since the green, blue, and purple line are not proportional, this means zero lines are proportional.

Note:

I know my answer is very late but I wanted to help anyone who needs it for future reference.

The graph has 0 proportional relationships.

What shows proportional relation?

The graph of a proportional relationship is a straight line through the origin or a ray whose endpoint is the origin.

In the given graph, only one purple color curve is a straight line but it is not starting through the origin.

Therefore, the graph does not have any proportional relationships.

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Answer:

2.27

Step-by-step explanation:

1.98+2.50+3.25 = 7.73 - 10.00 = 2.27

Answer:

$2.27

Step-by-step explanation:

Add the prices together

1.98 + 2.50 + 3.25 = 7.73

Susy owes the cashier $7.73 but payed with a $10 bill, so subtract

10 - 7.73 = 2.27

She should get back $2.27

Answer:

I think 50 is 30% of 166.666667

Step-by-step explanation:

Answer:

it's answer is 107

Step-by-step explanation:

firstly

x+28+45=180

x+73=180

x=180 subtract 73 = 107

Answer:

[tex] \sqrt{28 } + \sqrt{45 } = x[/tex]

Answer:

134

Step-by-step explanation:

Answer:

hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh

Step-by-step explanation:

Answer:

40%

Step-by-step explanation:

Total girls

= 12 + 18

= 30

Girls who prefer soccer =

12

Percentage =

12/30

= 0.4

= 40%

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Answer:

Area is 154 square meters

Step-by-step explanation:

Well lets think about this

If I take a rectangle and cut it into half diagonally I would get 2 triangles right?

So if I have 2 triangles of the same height and base I can make a rectangle

to find the area of a rectangle I do length times width

So lets take our scalene triangle and multiply our base with its width and then divide by 2

22*14 = 308

308/2 is 154

Answer:

4+4+1

Step-by-step explanation:

Answer:

4 + 4 + 1

Step-by-step explanation:

4 + 4 + 1 = 9

4 + 5 = 9

They both equal up to 9

The new length, width, and the height are (L+2) inches, (W+2) inches, and (H+2) inches respectively

It is defined as the six-faced shape, a type of hexahedron in geometry.

It is a three-dimensional shape.

As the old length, width, and height are not given so we are assuming the length of the box is L, width is W, and height is H.

Dave wants to add 2 inches to the minimum length, width, and height of the box. Including the additional space.

So the new length = (L+2) inches

New width = (W+2) inches

New height = (H+2) inches

Thus, the new length, width, and height are (L+2) inches, (W+2) inches, and (H+2) inches respectively.

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